Solve 2.8:x=2:2.5

$$2.8 : x = 2 : 2.5$$

Solve for x

$$x=3.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2.8=x\times \frac{2}{2.5}$$

Expand \frac{2}{2.5} by multiplying both numerator and the denominator by 10.

$$2.8=x\times \frac{20}{25}$$

Reduce the fraction \frac{20}{25} to lowest terms by extracting and canceling out 5.

$$2.8=x\times \frac{4}{5}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{4}{5}=2.8$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=2.8\times \frac{5}{4}$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{14}{5}\times \frac{5}{4}$$

Multiply \frac{14}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{14\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{2}$$